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Finding the Fourth Proportional to 3,704.64, 5,112.16 and 2,213.04

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Solution

The fourth proportional to 3,704.64, 5,112.16 and 2,213.04 is: 3,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.64 : 5,112.16 = 2,213.04 : x
  2. Step 2: Convert to fraction form
    3,704.64/5,112.16 = 2,213.04/x
  3. Step 3: Cross multiply
    3,704.64x = 5,112.16 × 2,213.04
  4. Step 4: Simplify right side
    3,704.64x = 11,313,414.57
  5. Step 5: Solve for x
    x = 11,313,414.57/3,704.64
  6. Step 6: Final answer
    x = 3,053.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.